Search a number
-
+
12252584801281 = 113413326361367
BaseRepresentation
bin1011001001001100011011…
…1101101111010000000001
31121101100001200221110200111
42302103012331233100001
53101221243202120111
642020432034551321
72403135321262036
oct262230675572001
947340050843614
1012252584801281
1139a4323772560
12145a771a38541
136ab54c12c796
143050577d738d
15163ab7b16a21
hexb24c6f6f401

12252584801281 has 8 divisors (see below), whose sum is σ = 13370372524224. Its totient is φ = 11135449807920.

The previous prime is 12252584801243. The next prime is 12252584801321. The reversal of 12252584801281 is 18210848525221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12252584801281 - 215 = 12252584768513 is a prime.

It is a super-3 number, since 3×122525848012813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12252584802281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163143141 + ... + 163218226.

It is an arithmetic number, because the mean of its divisors is an integer number (1671296565528).

Almost surely, 212252584801281 is an apocalyptic number.

12252584801281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12252584801281 is a deficient number, since it is larger than the sum of its proper divisors (1117787722943).

12252584801281 is a wasteful number, since it uses less digits than its factorization.

12252584801281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326364791.

The product of its (nonzero) digits is 819200, while the sum is 49.

The spelling of 12252584801281 in words is "twelve trillion, two hundred fifty-two billion, five hundred eighty-four million, eight hundred one thousand, two hundred eighty-one".

Divisors: 1 11 3413 37543 326361367 3589975037 1113871345571 12252584801281